03075nam 22006135 450 991014629770332120250731082351.03-540-69666-010.1007/BFb0095931(CKB)1000000000437333(SSID)ssj0000324948(PQKBManifestationID)12117212(PQKBTitleCode)TC0000324948(PQKBWorkID)10320052(PQKB)10865332(DE-He213)978-3-540-69666-7(MiAaPQ)EBC5596355(Au-PeEL)EBL5596355(OCoLC)1076229867(MiAaPQ)EBC6819238(Au-PeEL)EBL6819238(OCoLC)1287136151(PPN)155205668(EXLCZ)99100000000043733320121227d1998 u| 0engurnn|008mamaatxtccrModuli of Supersingular Abelian Varieties /by Ke-Zheng Li, Frans Oort1st ed. 1998.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1998.1 online resource (IX, 116 p.) Lecture Notes in Mathematics,1617-9692 ;1680Bibliographic Level Mode of Issuance: Monograph3-540-63923-3 Supersingular abelian varieties -- Some prerequisites about group schemes -- Flag type quotients -- Main results on S g,1 -- Prerequisites about Dieudonné modules -- PFTQs of Dieudonné modules over W -- Moduli of rigid PFTQs of Dieudonné modules -- Some class numbers -- Examples on S g,1 -- Main results on S g,d -- Proofs of the propositions on FTQs -- Examples on S g,d (d>1) -- A scheme-theoretic definition of supersingularity.Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Äg.g/4Ü, and we express the number of components as a class number, thus completing a long historical line where special cases were studied and general results were conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).Lecture Notes in Mathematics,1617-9692 ;1680Geometry, AlgebraicAlgebraic GeometryGeometry, Algebraic.Algebraic Geometry.516.35Li Ke-Zheng1949-61752Oort Frans1935-MiAaPQMiAaPQMiAaPQBOOK9910146297703321Moduli of supersingular abelian varieties261847UNINA